Rank
The elliptic curves in class 2116800.de have rank \(0\).
Complex multiplication
The elliptic curves in class 2116800.de do not have complex multiplication.Modular form 2116800.2.a.de
Isogeny matrix
The \((i,j)\)-th entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the LMFDB numbering.
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
The vertices are labelled with LMFDB labels, and the \( \Gamma_0(N) \)-optimal curve is highlighted in blue.
Elliptic curves in class 2116800.de
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 2116800.de1 | \([0, 0, 0, -2513700, 1565109000]\) | \(-5267712/125\) | \(-41682334806000000000\) | \([]\) | \(71663616\) | \(2.5510\) |
| 2116800.de2 | \([0, 0, 0, 132300, 9261000]\) | \(6912/5\) | \(-185254821360000000\) | \([]\) | \(23887872\) | \(2.0017\) |